$(25$ points$)$ In class, we discussed the Wien Displacement Law, ${}_{\text{m}\text{a}\text{x}}=0\mathrm{.}29T^{-1}cm,$ which gives the

wavelength ${}_{\text{m}\text{a}\text{x}}(T)$ at which $B_{}(T)$ has a maximum. Derive an analogous relation giving the frequency

$u{?}_{(}()()max)(T)$ at which $B_{?}$

$u(T)$ has a maximum. Solve for

$u{?}_{(}()()max)(T)$ numerically $($you may use Python, Mathe$-$

matica or another program$).$ How does

$u{?}_{(}()()max)$ compare with $\frac{c}{{}_{\text{m}\text{a}\text{x}}}?[$Hint: They are not equal.$]$